Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications
Functional Analysis
2021-11-09 v1
Abstract
In this paper, we give the definition of local variable Morrey Lorentz spaces which are a new class of functions. Also, we prove the boundedness of the Hardy Littlewood maximal operator M and Calderon Zygmund operators T on these spaces. Finally, we apply these results to the Bochner Riesz operator, identity approximation and the Marcinkiewicz operator on these spaces.
Keywords
Cite
@article{arxiv.2111.03726,
title = {Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications},
author = {A. Kucukaslan and V. S. Guliyev and C. Aykol and A. Serbetci},
journal= {arXiv preprint arXiv:2111.03726},
year = {2021}
}